Greatest Common Factor of 6371/72, 5735/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6371/72, 5735/754

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6371/72,5735/754

Given fractions are 6371/72,5735/754

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6371,5735

Greatest Common Factor of Numerators i.e. GCF of 6371,5735 is 1 .

LCM of Denominators means LCM of 72,754 as per the given fractions.

LCM of 72,754 is 27144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6371,5735

GCF of Fractions 6371/72,5735/754 is 1/27144

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6371,5735 By Matching Biggest Common Factor Method

Greatest Common Factor of 6371,5735 By Matching Biggest Common Factor Method

Factors of 6371

List of positive integer factors of 6371 that divides 6371 without a remainder.

1,23,277,6371

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors 6371,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 6371,5735 is 1.

Lets's calculate LCM of 72,754

2 72, 754
36, 377

∴ So the LCM of the given numbers is 2 x 36 x 377 = 27144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27144

Therefore, the GCF of Fractions 6371/72,5735/754 is 1/27144

Least Common Multiple of 72,754 with GCF Formula

Least Common Multiple of 72,754 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,754) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(72,754) x common factors =2 x 1 = 2

LCM(72,754) = ( 72 × 754 ) / 2

LCM(72,754) = 54288 / 2

LCM(72,754) = 27144


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6371/72, 5735/754

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6371/72, 5735/754?

Answer: GCF of Numerators as per given numbers 6371/72, 5735/754 is

GCF of Numerators i.e. for 6371,5735 is 1

LCM of denominators i.e. for 72,754 is 27144.

Thus, GCF of Fractions is 1/27144.Finally, GCF of Fractions for 6371/72, 5735/754 is 1/27144.